Finding the Fourth Proportional to 1,515,085,489,611.10, 2,090,801,319,121.30 and 820,608,771,329.93
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Solution
The fourth proportional to 1,515,085,489,611.10, 2,090,801,319,121.30 and 820,608,771,329.93 is: 1,132,431,082,829.21
Step by Step Solution
- Step 1: Write the proportion equation
1,515,085,489,611.10 : 2,090,801,319,121.30 = 820,608,771,329.93 : x - Step 2: Convert to fraction form
1,515,085,489,611.10/2,090,801,319,121.30 = 820,608,771,329.93/x - Step 3: Cross multiply
1,515,085,489,611.10x = 2,090,801,319,121.30 × 820,608,771,329.93 - Step 4: Simplify right side
1,515,085,489,611.10x = 1,715,729,901,579,127,144,579,072 - Step 5: Solve for x
x = 1,715,729,901,579,127,144,579,072/1,515,085,489,611.10 - Step 6: Final answer
x = 1,132,431,082,829.21
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.